Bias-voltage induced phase-transition in bilayer quantum Hall ferromagnets

Abstract

We consider bilayer quantum Hall systems at total filling factor $\nu =1$ in presence of a bias voltage ${\Delta }_v$ which leads to different filling factors in each layer. We use auxiliary field functional integral approach to study mean-field solutions and collective excitations around them. We find that at large layer separation, the collective excitations soften at a finite wave vector leading to the collapse of quasiparticle gap. Our calculations predict that as the bias voltage is increased, bilayer systems undergo a phase transition from a compressible state to a $\nu =1$ phase-coherent state {\it with charge imbalance}. We present simple analytical expressions for bias-dependent renormalized charge imbalance and pseudospin stiffness which are sensitive to the softening of collective modes.

12 pages, 5 figures. Minor changes, one reference added

References in corpus (4)

• Observation of a Linearly Dispersing Collective Mode in a Quantum Hall Ferromagnet
• Is there a d.c. Josephson Effect in Bilayer Quantum Hall Systems?
• Dipolar Excitons, Spontaneous Phase Coherence, and Superfluid-Insulator Transition in Bi-layer Quantum Hall Systems at $\nu =1$
• Microscopic Functional Integral Theory of Quantum Fluctuations in Double-Layer Quantum Hall Ferromagnets

Cited by in corpus (31)

• Excitonic superfluid phase in Double Bilayer Graphene
• Excitonic condensation of massless fermions in graphene bilayers
• Onset of Interlayer Phase Coherence in a Bilayer Two-Dimensional Electron System: Effect of Layer Density Imbalance
• Paired composite fermion phase of quantum Hall bilayers at ν= 1/2 + 1/2
• Trial Wavefunctions for ν= 1/2 + 1/2 Quantum Hall Bilayers
• Spin Transition in Strongly Correlated Bilayer Two Dimensional Electron Systems
• Anomalous Exciton-Condensation in Graphene Bilayers
• Vortices, tunneling and deconfinement in bilayer excitonic quantum Hall superfluid
• Role of density imbalance in an interacting bilayer hole system
• Charge Imbalance and Bilayer 2D Electron Systems at ${\nu }_T=1$
• Excitonic Superfluid to pseudo-spin density wave transition in bilayer quantum Hall systems
• The effect of electron dielectric response on the quantum capacitance of graphene in a strong magnetic field
• Fractional charges and quantum phase transitions in imbalanced bilayer quantum Hall systems
• Giant capacitance of a plane capacitor with a two-dimensional electron gas in a magnetic field
• $s$-wave paired composite-fermion electron-hole trial state for quantum Hall bilayers with $\nu =1$
• Observation of soft magnetorotons in bilayer quantum Hall ferromagnets
• Evolution of the bilayer nu = 1 quantum Hall state under charge imbalance
• Collective modes of CP(3) Skyrmion crystals in quantum Hall ferromagnets
• Mutual Composite Fermion and composite Boson approaches to balanced and imbalanced bilayer quantum Hall system: an electronic analogy of the Helium 4 system
• Pseudospin vortex-antivortex states with interwoven spin textures in double layer quantum Hall systems
• Evidence for a Superfluid-to-solid Transition of Bilayer Excitons
• Superconductivity of electron-hole pairs in a bilayer graphene system in a quantizing magnetic field
• Chemical potential and compressibility of quantum Hall bilayer excitons
• Correlation energy, quantum phase transition, and bias potential effects in quantum Hall bilayers at nu=1
• Rippled state of double-layer quantum Hall systems
• Composite bosons in bilayer nu = 1 system: An application of the Murthy-Shankar formalism
• Quantum Hall bilayer in dipole representation
• Single-parameter variational wavefunctions for quantum Hall bilayers
• Noise spectroscopy and interlayer phase-coherence in bilayer quantum Hall systems
• Interaction-driven capacitance in Graphene electron-hole double layer in the quantum Hall regime
• Spectroscopy of soft modes and quantum phase transitions in coupled electron bilayers